Home / 1,004.13-1,506.45-387.67

Finding the Fourth Proportional to 1,004.13, 1,506.45 and 387.67

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Solution

The fourth proportional to 1,004.13, 1,506.45 and 387.67 is: 581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.13 : 1,506.45 = 387.67 : x
  2. Step 2: Convert to fraction form
    1,004.13/1,506.45 = 387.67/x
  3. Step 3: Cross multiply
    1,004.13x = 1,506.45 × 387.67
  4. Step 4: Simplify right side
    1,004.13x = 584,003.80
  5. Step 5: Solve for x
    x = 584,003.80/1,004.13
  6. Step 6: Final answer
    x = 581.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.